Heh-heh. I have four Fridays, all packed in suitcases at the moment, because I'm living in two different places (long story) and have other bikes to ride.
Does your Friday + suitcase come anywhere near the 50 lb. weight limit? If so, resist the temptation to stuff everything but the kitchen sink in there. Airlines these days love to charge oversize and overweight fees whenever they can. It's bad enough on domestic flights, but it's murder on overseas flights.